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What is the minimum length of a focal chord to the parabola y^2=32x

What is the minimum length of a focal chord to the parabola y^2=32x

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1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
9 years ago
Shortest focal chord is chord perpendicular to axis and passing through focus.
for above parabola focus is (8,0)

End points of focus will be (8,16) and (8, -16) ( Get y by putting x=8 iin parabola equation)

Length will clearly be 32 ( difference in ordinates)

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